if your going to make comparisons, please do it fairly
I just looked at one school via the loop website, UK ppl £5500 inc g/school
landing fee's are usually included in the fee
the 50 hours would be the same UK or US
the original poster said May/June/July so the weather in the UK should be fine
the big worry, to me anyway, would be, not finishing your ppl in the US before
you have to return home, without completing it.
also £350 isn't a return flight
£1000 hotel fee, + when your away, every single thing you do, costs
I did. I used a "well known flight school" which quoted as you say around £5500
+ VAT which when pro-rated to 50 hours (The US course includes 50 hours, theirs is a 45 hour course) actually gives more like £7,000. Plus landing fees at £20 per pop which are not included, reduced to 33% for a "touch and go". Away landings are charged at cost.
6 weeks is plenty for a PPL. £350 could be a return flight depending on exact dates, I have just bought a BA return to LAX (in November) for £250 return. The Long Beach Guest House Hotel costs $40 per night on the special deal many of the flight schools at the airport have with them (significantly discounted rate) which equals ~$1700 which is less than £1000 at todays rate. As the rate is per room, the room can be shared (normally have 2 double beds in each room) and you still pay the same price. Transport is free, so no hire car needed. I haven't bothered to include food, as you have to eat whatever country you are in......though food may well be cheaper in the USA anyway.